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Finding the Fourth Proportional to 6,662.27, 9,194.43 and 4,677.57

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Solution

The fourth proportional to 6,662.27, 9,194.43 and 4,677.57 is: 6,455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.27 : 9,194.43 = 4,677.57 : x
  2. Step 2: Convert to fraction form
    6,662.27/9,194.43 = 4,677.57/x
  3. Step 3: Cross multiply
    6,662.27x = 9,194.43 × 4,677.57
  4. Step 4: Simplify right side
    6,662.27x = 43,007,589.94
  5. Step 5: Solve for x
    x = 43,007,589.94/6,662.27
  6. Step 6: Final answer
    x = 6,455.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.